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The classification of stunted projective spaces by stable homotopy type
| Content Provider | Semantic Scholar |
|---|---|
| Author | Feder, S. Gitler, S. |
| Copyright Year | 1977 |
| Abstract | A complete classification of stable homotopy types of complex and quaternionic stunted projective spaces, denoted by CPnk and QPnk respectively, is obtained. The necessary conditions for such equivalences are found using Ä-theory and various characteristic classes introduced originally by J. F. Adams. As a by-product one finds the /-orders of the Hopf bundles over CP" and QP" respectively. The algebraic part is rather involved. Finally a homotopy theoretical argument yields the constructions of such homotopy equivalences as are allowed by the fulfillment of the necessary conditions. |
| Starting Page | 59 |
| Ending Page | 81 |
| Page Count | 23 |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/S0002-9947-1977-0423338-2 |
| Volume Number | 225 |
| Alternate Webpage(s) | http://www.ams.org/journals/tran/1977-225-00/S0002-9947-1977-0423338-2/S0002-9947-1977-0423338-2.pdf |
| Alternate Webpage(s) | https://doi.org/10.1090/S0002-9947-1977-0423338-2 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
